On oriented graphs with minimal skew energy

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On oriented graphs with minimal skew energy

Let S(Gσ) be the skew-adjacency matrix of an oriented graph Gσ . The skew energy of Gσ is the sum of all singular values of its skew-adjacency matrix S(Gσ). This paper first establishes an integral formula for the skew energy of an oriented graph. Then, it determines all oriented graphs with minimal skew energy among all connected oriented graphs on n vertices with m (n ≤ m < 2(n− 2)) arcs, whi...

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ژورنال

عنوان ژورنال: The Electronic Journal of Linear Algebra

سال: 2014

ISSN: 1081-3810

DOI: 10.13001/1081-3810.1961